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math.DG2024
Conformally Kähler structures
Maciej Dunajski, A. Rod Gover
We establish a one-to-one correspondence between Kähler metrics in a given conformal class and parallel sections of a certain vector bundle with conformally invariant connection, w…
hep-th2024
Integrability of quantum dots
Maciej Dunajski, Andrzej J. Maciejewski, Maria Przybylska
We determine the frequency ratios for which the Hamiltonian system with a potential \[ V=\frac{1}{r}+\frac{1}{2}\Big({ω_ρ}^2(x^2+y^2)+{ω_z}^2 z^2\Big) \] is compl…
math.DG2024★ 2 cited
New quasi-Einstein metrics on a two-sphere
Alex Colling, Maciej Dunajski, Hari Kunduri +1
We construct all axi-symmetric non-gradient -quasi-Einstein structures on a two-sphere. This includes the spatial cross-section of the extreme Kerr black hole horizon correspond…